Atkin-Lehner |
2- 3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127908i |
Isogeny class |
Conductor |
127908 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-28963782220032 = -1 · 28 · 36 · 113 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29415,1958974] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1782:1] |
Generators of the group modulo torsion |
j |
-15082133362000/155198593 |
j-invariant |
L |
7.7867232185581 |
L(r)(E,1)/r! |
Ω |
0.66635204801361 |
Real period |
R |
1.94759992843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001597 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14212c2 |
Quadratic twists by: -3 |